142413342112000 has 72 divisors (see below), whose sum is σ = 354769436948472. Its totient is φ = 56965336832000.

The previous prime is 142413342111979. The next prime is 142413342112003. The reversal of 142413342112000 is 211243314241.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5126565412864 + 137286776699136 = 2264192^2 + 11716944^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 142413342112000.

It is not an unprimeable number, because it can be changed into a prime (142413342112003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2225176471 + ... + 2225240470.

It is an arithmetic number, because the mean of its divisors is an integer number (4927353290951).

Almost surely, 2^{142413342112000} is an apocalyptic number.

142413342112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142413342112000 is an abundant number, since it is smaller than the sum of its proper divisors (212356094836472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142413342112000 is an frugal number, since it uses more digits than its factorization.

142413342112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4450416972 (or 4450416948 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 142413342112000 its reverse (211243314241), we get a palindrome (142624585426241).

The spelling of 142413342112000 in words is "one hundred forty-two trillion, four hundred thirteen billion, three hundred forty-two million, one hundred twelve thousand".